Well-posedness of a model of strain gradient plasticity for plastically irrotational materials

83 citations recorded by the source corpus.

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

Existence and Uniqueness for Rate-Independent Infinitesimal Gradient Plasticity with Isotropic Hardening and Plastic Spin (2010, background): “Thus assuming, for instance, that the model is initially unstressed and undeformed and so corresponds to f x 0 0 and u0 0, p0 0 and 0 0, the weak formulation of the model in the case 0 reads as follows: find u p H 1 0 T Z such that 0 0, t W for a.e. t [0 T ] and the variational inequality a z j z j ”
A gradient-enhanced damage model coupled to plasticity—multi-surface formulation and algorithmic concepts (2018, background): “…et al., 1999; Gurtin, 2010; Kuroda and Tvergaard, 2010; Liebe and Steinmann, 2001; Liebe et al., 2003; Mühlhaus and Aifantis, 1991; Polizzotto, 2009; Reddy et al., 2008; Voyiadjis and Deliktas, 2009), and for gradient enhancement of models for the coupled response (Abu Al-Rub and Voyiadjis,…”